Pair Of Linear Equations Practice 2: Substitution And Elimination

Practise focused skills from Pair of Linear Equations in Two Variables

MathematicsGrade 10Mixed10 questions20 min

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Focus question style

Section A: Algebraic Methods · 6 questionsSection B: Check and Choose · 4 questions

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Section A: Algebraic Methods

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

Using substitution, solve $x+y=9$ and $x=4$ . What is $y$ ?

Topic: Substitution Method · Skill: Solve equations using substitution

Question 2

MediumQuestion

Solve by substitution: $y=2x+1$ and $x+y=10$ .

Topic: Substitution Method · Skill: Solve equations using substitution

Question 3

MediumQuestion

For the pair $x=3y-2$ and $2x+y=19$ , which first step is most efficient?

Topic: Substitution Method · Skill: Choose efficient substitution steps

Question 4

AdvancedQuestion

A student solves $4x+y=17$ and $y=5-x$ . Which substitution avoids fractions and extra rearranging?

Topic: Substitution Method · Skill: Choose efficient substitution steps

Question 5

EasyQuestion

In $3x+2y=16$ and $3x-y=7$ , which operation eliminates $x$ ?

Topic: Elimination Method · Skill: Solve equations using elimination

What this assignment covers

Solve pairs of equations using substitution, elimination, scaling and validation.

Skills and sections

Solve equations using substitution, Choose efficient substitution steps, Solve equations using elimination, Scale equations before elimination, Check solutions in both equations

Section A: Algebraic Methods: 6 questions
Section B: Check and Choose: 4 questions